Tilings and patterns
Detecting texture periodicity from the co-occurrence matrix
Pattern Recognition Letters
Extracting periodicity of a regular texture based on autocorrelation functions
Pattern Recognition Letters
Computer-generated floral ornament
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast determination of textural periodicity using distance matching function
Pattern Recognition Letters
Performance evaluation in content-based image retrieval: overview and proposals
Pattern Recognition Letters - Special issue on image/video indexing and retrieval
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mathematical Tools for Computer-Generated Ornamental Patterns
EP '98/RIDT '98 Proceedings of the 7th International Conference on Electronic Publishing, Held Jointly with the 4th International Conference on Raster Imaging and Digital Typography: Electronic Publishing, Artistic Imaging, and Digital Typography
Islamic Symmetric Pattern Generation Based on Group Theory
CGI '99 Proceedings of the International Conference on Computer Graphics
A Computational Model for Periodic Pattern Perception Based on Frieze and Wallpaper Groups
IEEE Transactions on Pattern Analysis and Machine Intelligence
Islamic star patterns in absolute geometry
ACM Transactions on Graphics (TOG)
Structural Description of Textile and Tile Pattern Designs Using Image Processing
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 1 - Volume 01
Extraction of a representative tile from a near-periodic texture
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Toward Robust Distance Metric Analysis for Similarity Estimation
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Image-based procedural modeling of facades
ACM SIGGRAPH 2007 papers
IEEE Transactions on Computers
A computational model for pattern and tile designs classification using plane symmetry groups
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
Fundamental region based indexing and classification of islamic star pattern images
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
Interactive modeling of Muqarnas
Proceedings of the International Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
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In this article, we propose a general computational model for the extraction of symmetry features of Islamic geometrical patterns' (IGP) images. We describe IGP images using the discrete symmetry groups theory. Our model contains the three following steps. (1) By noting that these patterns fall into three major categories, we begin our indexation process by classifying every pattern into one of these categories. The first pattern category describes all the patterns generated by translation along one direction. Every pattern of this category can be classified into one of the seven Frieze groups. The second type of pattern contains translational symmetries in two independent directions. Patterns of this category can be classified into one of the seventeen Wallpaper groups. The last type, called rosettes, describes patterns which begin at a central point and grow radially outward. We use rosette symmetry groups to classify patterns of this latter category. (2) For every pattern, we extract the symmetry features, namely, the symmetry group and the fundamental region, which is a representative region in the image from which the whole image can be regenerated. But for rosette groups, we can also compute the number of folds. (3) Finally, we describe the fundamental region by a simple color histogram and build the feature vector which is a combination of the symmetry feature (defined in the second step) and histogram information. Experiments show promising results for either IGP images' classification or indexing. Efforts for the subsequent task of classifying Islamic geometrical patterns' images can be significantly reduced.